Complex ridgelets for shift invariant characterization of surface topography with line singularities

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Abstract

A complex ridgelet transform, which provides shift invariance and good performance for line singularities, is proposed to solve the problems with existing wavelet-based methods in surface metrology by taking a dual-tree complex wavelet transform on the projections of the finite Radon transform. Numerical experiments show the efficiency of this methodology in approximation, denoising, and characterization of engineering and bioengineering surfaces with straight scratches.

Original languageEnglish
Pages (from-to)423-431
Number of pages9
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume344
Issue number6
Early online date5 Jul 2005
DOIs
Publication statusPublished - 19 Sep 2005

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